On the Generalized Marcinkiewicz Integral Operators with Rough Kernels

被引：23

作者：

Fan, Dashan ^{[1
]}

Wu, Huoxiong ^{[2
]}

机构：

[1] Univ Wisconsin, Dept Math, Milwaukee, WI 53201 USA

[2] Xiamen Univ, Sch Math Sci, Xiamen, Fujian, Peoples R China

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2011年 / 54卷 / 01期

关键词：

Marcinkiewicz integral; Littlewood-Paley theory; Triebel-Lizorkin space; rough kernel; product domain; L-P BOUNDS; PRODUCT-SPACES; SURFACES; DOMAINS;

D O I：

10.4153/CMB-2010-085-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A class of generalized Marcinkiewicz integral operators is introduced, and, under rather weak conditions on the integral kernels, the boundedness of such operators on L(P) and Triebel-Lizorkin spaces is established.

引用

页码：100 / 112

页数：13

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